{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fresnel Propagation with POPPY "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`poppy` now includes support for Fresnel propagation. This notebook demonstrates some of that functionality."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basics: FresnelWavefront and propagation through free space"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The API has been kept as similar as possible to the original Fraunhofer mode of `poppy`. There are `FresnelWavefront` and `FresnelOpticalSystem` classes, which can be used for the most part similar to the `Wavefront` and `OpticalSystem` classes. There are a few key differences however. \n",
    "\n",
    "First and foremost, the user must specify the physical separation between optics and must explicitly include lenses to refocus beams, rather than simply letting that automatically be handled under the Fraunhofer assumptions. \n",
    "A second notable difference is that the `Fresnel` classes make use of the `astropy.Quantities` framework for units conversion, particularly for propagation distances. \n",
    "\n",
    "To support Fresnel propagation, under the hood `poppy` makes use of several different propagation algorithms, and `FresnelWavefront`s may be represented on circular as well as planar surfaces. The approach is generally similar to that taken by John Krist's package PROPER (available from http://proper-library.sourceforge.net), for any users who are familiar with that. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 1: Edge ringing after a circular aperture"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us begin by demonstrating the propagation of a plane wave through an aperture, and examine the resulting intensity pattern after some distance through free space. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import poppy\n",
    "from poppy.poppy_core import PlaneType\n",
    "import astropy.units as u\n",
    "import astropy.io.fits as fits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x13a9827a4e0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "npix = 1024 # ~512 is minimum to accurately recover the central diffraction spike\n",
    "wf = poppy.FresnelWavefront(0.5*u.m,wavelength=2200e-9,npix=npix,oversample=4)\n",
    "wf *= poppy.CircularAperture(radius=0.5) \n",
    "\n",
    "plt.figure(figsize=(12,5))\n",
    "wf.display('both',colorbar=True, showpadding=True)\n",
    "plt.suptitle(\"Entrance Pupil\", fontsize=18)\n",
    "\n",
    "z = 5e3*u.m\n",
    "wf.propagate_fresnel(z)\n",
    "\n",
    "plt.figure(figsize=(12,5))\n",
    "wf.display('both',colorbar=True)\n",
    "plt.suptitle(\"After propagating {}\".format(z), fontsize=18)\n",
    "\n",
    "plt.figure(figsize=(12,5))\n",
    "y, x = wf.coordinates()\n",
    "plt.plot(x[wf.intensity.shape[1]//2,:], wf.intensity[wf.intensity.shape[1]//2,:])\n",
    "plt.title(\"Cut through PSF at z={:0.2e}\".format(z))\n",
    "plt.xlabel('Position [m]')\n",
    "plt.ylabel('Intensity relative to entrance pupil')\n",
    "\n",
    "plt.plot([0], [3.30], 'o', label='Theory')\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see the expected ringing from the aperture edges. The peak intensity agrees well with the expected theoretical value. Note that, as with any numerical calculation, the degree of accuracy achieved depends on the details of the wavefront sampling and so forth. Here we chose to perform this calculation at moderately high resolution (1024 pixels across the illuminated pupil, times a sampling factor of 4, therefore 4096x4096 arrays are used to represent the wavefront.)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Some differences from Fraunhofer propagation, part 1:\n",
    "\n",
    "The Fresnel propagation API necessarily differs in several ways from the original Fraunhofer API in `poppy`. Let's highlight a few of the key differences. \n",
    "\n",
    "First, when we define a Fresnel wavefront, the first argument specifies the desired diameter of the wavefront, and is given as an `astropy.Quantity` of dimension length: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import astropy.units as u\n",
    "wf_fresnel = poppy.FresnelWavefront(0.5*u.m,wavelength=2200e-9,npix=npix,oversample=4)\n",
    "# versus:\n",
    "wf_fraunhofer = poppy.Wavefront(diam=0.5, wavelength=2200e-9,npix=npix,oversample=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Fresnel code relies on the `Quantity` framework to enforce consistent units and dimensionality. You can use any desired unit of length, from nanometers to parsecs and beyond, and the code will convert units appropriately. \n",
    "\n",
    "This also shows up when requesting an optical propagation. Rather than having implicit transformations between pupil and image planes, for Fresnel propagation a specific distance must be given.  This too is a `Quantity` giving a length."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "wf.propagate_fresnel(5*u.km)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 2: Divergence of a Gaussian Beam near the Beam Waist"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Beams with Gaussian intensity patterns are often encountered, for instance in laser physics or as a close approximation to the exit pupil of a single-mode optical fiber. Gaussian beams have particularly simple propagation, which can be described at all points in space based on a few parameters of the so-called beam waist, for instance the wavelength $\\lambda$ and the radius $w_0$ and position $z$ of the waist. \n",
    "\n",
    "The Fresnel propagation code makes extensive use internally of Gaussian beam parameters for representing the convergence of spherical waves. Here we demonstrate that the `FresnelWavefront` code can reproduce the well-known variation in beam radius of curvature $R_c$ and beam width $w$ as a function of the propagation distance $z$. These are normalized to the Rayleigh distance $z_R$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# setup an initial Gaussian beam in an aperture. \n",
    "\n",
    "ap = poppy.CircularAperture(radius=1)\n",
    "wf0 = poppy.FresnelWavefront(beam_radius=1*u.m, wavelength=1e-6)\n",
    "\n",
    "z_rayleigh = wf0.z_r    # the Rayleigh distance\n",
    "\n",
    "z = z_rayleigh * np.logspace(-1,1,num=11)\n",
    "\n",
    "calc_rz = []\n",
    "calc_wz = []\n",
    "for zi in z:\n",
    "    #setup entrance wave\n",
    "    wf = poppy.FresnelWavefront(1*u.m, wavelength=1e-6)\n",
    "    wf.propagate_fresnel(zi)\n",
    "    \n",
    "    # calculate the beam radius and curvature vs z\n",
    "    calc_rz.append( (wf.r_c()/z_rayleigh).value)\n",
    "    calc_wz.append( (wf.spot_radius()/wf.w_0).value)\n",
    "        \n",
    "# Compare to the analytic solution for Gaussian beam propagation\n",
    "zdzr = z/z_rayleigh\n",
    "rz = (z**2 + z_rayleigh**2)/z\n",
    "wz = wf0.w_0*np.sqrt(1+zdzr**2)\n",
    "\n",
    "plt.plot(zdzr, rz/z_rayleigh, label=\"$R_c(z)/z_R$ (analytical)\", color='blue')\n",
    "plt.plot(zdzr, calc_rz, ls='dashed', linewidth=3, color='purple', label=\"$R_c(z)/z_R$ (calc.)\")\n",
    "plt.plot(zdzr, wz/wf.w_0, label=\"$w(z)/w_0$ (analytical)\", color='orange')\n",
    "plt.plot(zdzr, calc_wz, ls='dashed', linewidth=3, color='red', label=\"$w(z)/w_0$ (calc.)\")\n",
    "plt.xlabel(\"$z/z_R$\")\n",
    "plt.legend(loc='lower right', frameon=False);\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results are as expected."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adding Lenses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The parameters of a Gaussian beam may be modified (making it converging or diverging) by adding optical power. In `poppy` this is represented with the `QuadraticLens` class. This is so named because it applies a purely quadratic phase term, i.e. representative of a parabolic mirror or a lens considered in the paraxial approximation. \n",
    "\n",
    "Right now, only the Fresnel `QuadraticLens` class will actually cause the Gaussian beam parameters to change. You won't get that effect by adding wavefront error with some other `OpticalElement` class. \n",
    "\n",
    "Here we demonstrate a simple telephoto system, applying first a converging lens, then a diverging lens. The beam waist changes after each lens. If we propagate to the resulting final beam waist (i.e. the focus of the combined system), we find the expected Airy pattern at a finite distance from the entrance pupil. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "After aperture, beam waist is at 0.0 m\n",
      "After lens with focal length 1.0 m, beam waist is at 1.00 m\n",
      "After propagating 0.50 m, the waist is still at 1.00 m\n",
      "After lens with focal length -1.0 m, beam waist is at 1.50 m\n",
      "Propagating 1.00 m to the final focus\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ap = poppy.CircularAperture(radius=1)\n",
    "wf = poppy.FresnelWavefront(beam_radius=1*u.m, wavelength=1e-6)\n",
    "wf *= ap\n",
    "print(\"After aperture, beam waist is at {}\".format(wf.z_w0) )\n",
    "\n",
    "conv_lens = poppy.QuadraticLens(1.0*u.m)\n",
    "wf *= conv_lens\n",
    "print(\"After lens with focal length {}, beam waist is at {:.2f}\".format(conv_lens.fl, wf.z_w0) )\n",
    "\n",
    "wf.propagate_fresnel(0.5*u.m)\n",
    "print(\"After propagating 0.50 m, the waist is still at {:.2f}\".format(wf.z_w0))\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "wf.display('both', colorbar=True)\n",
    "plt.suptitle(\"Wavefront after propagating 0.50 m\", fontsize=18)\n",
    "\n",
    "div_lens = poppy.QuadraticLens(-1*u.m)\n",
    "wf *= div_lens\n",
    "print(\"After lens with focal length {}, beam waist is at {:.2f}\".format(div_lens.fl, wf.z_w0) )\n",
    "\n",
    "print(\"Propagating {:.2f} to the final focus\".format(wf.z_w0 - 0.5*u.m))\n",
    "wf.propagate_fresnel(wf.z_w0 - 0.5*u.m)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "wf.display('both', colorbar=True, imagecrop=4e-5, scale='log', \n",
    "           vmax=wf.amplitude.max(), vmin=wf.amplitude.max()*1e-5)\n",
    "plt.suptitle(\"Wavefront at focus of lens\", fontsize=18);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## FresnelOpticalSystem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just like the `OpticalSystem` serves as a high-level container for `OpticalElement`s in Fraunhofer propagation, the `FresnelOpticalSystem` serves the same purpose in Fresnel propagation. \n",
    "\n",
    "Note that when adding `OpticalElement`s to the `FresnelOpticalSystem`, you use an `add_optic` function and must specify a physical distance separating that optic from the previous optic. This replaces the `addIimage` and `add_pupil` methods used in Fraunhofer propagation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following example presents a simplified version of the Hubble Space Telescope.\n",
    "\n",
    "The specific numeric values used for Hubble are taken from the HST example code in the PROPER manual by John Krist,\n",
    "version 2.0a available from http://proper-library.sourceforge.net\n",
    "This is not intended as a high-fidelity model of Hubble, and for instance this simplified the primary aperture obscuration, and neglects the specific conic constants of the optics including the infamous spherical aberration.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# HST example - Following example in PROPER Manual V2.0 page 49.\n",
    "diam = 2.4 * u.m\n",
    "fl_pri = 5.52085 * u.m\n",
    "d_pri_sec = 4.907028205 * u.m\n",
    "fl_sec = -0.6790325 * u.m\n",
    "d_sec_to_focus = 6.3919974 * u.m\n",
    "\n",
    "hst = poppy.FresnelOpticalSystem(pupil_diameter=2.4*u.m, npix=512, beam_ratio=0.25)\n",
    "m1 = poppy.QuadraticLens(fl_pri, name='Primary')\n",
    "m2 = poppy.QuadraticLens(fl_sec, name='Secondary')\n",
    "\n",
    "hst.add_optic(poppy.CircularAperture(radius=diam.value/2))\n",
    "hst.add_optic(poppy.SecondaryObscuration(secondary_radius=0.396,\n",
    "                                 support_width=0.0264,\n",
    "                                 support_angle_offset=45.0))\n",
    "hst.add_optic(m1)\n",
    "hst.add_optic(m2, distance=d_pri_sec)\n",
    "hst.add_optic(poppy.ScalarTransmission(planetype=PlaneType.image, name='focus'), distance=d_sec_to_focus);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<poppy.fresnel.FresnelOpticalSystem object at 0x0000013A8802F0B8>\n",
      "\tEntrance pupil diam:  2.4 m\tnpix: 512\tBeam ratio:0.25\n",
      "\tOptic: Circle, radius=1.2 m\n",
      "\tPupil plane: Secondary Obscuration with 4 supports (Analytic)\n",
      "\tLens: Primary, with focal length 5.52085 m\n",
      "\tPropagation distance:  4.907028205 m\n",
      "\tLens: Secondary, with focal length -0.6790325 m\n",
      "\tPropagation distance:  6.3919974 m\n",
      "\tImage plane: focus (Analytic)\n"
     ]
    }
   ],
   "source": [
    "hst.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,8))\n",
    "psf, waves = hst.calc_psf(wavelength=0.5e-6, display_intermediates=True, return_intermediates=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The output files are format-compatible with other files produced by `poppy`, and can be used interchangably in the various display and measurement routines."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "poppy.display_psf(psf,imagecrop=1.8)\n",
    "plt.title('A Hubble-like PSF')\n",
    "plt.ylabel(\"Offset [arcsec]\");\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a check, let's make sure that the PSF is close to what what we would expect for a diffraction limited telescope via the Rayleigh Criterion and Fraunhofer diffraction theory.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#calculate the Fraunhofer  diffraction pattern of the same aperture\n",
    "hst_fraunhofer = poppy.OpticalSystem(pupil_diameter=2.4*u.m, npix=512,oversample=4)\n",
    "hst_fraunhofer.add_pupil(poppy.CircularAperture(radius=diam.value/2))\n",
    "hst_fraunhofer.add_pupil(poppy.SecondaryObscuration(secondary_radius=0.396,\n",
    "                                 support_width=0.0264,\n",
    "                                 support_angle_offset=45.0))\n",
    "hst_fraunhofer.add_image(poppy.ScalarTransmission(planetype=PlaneType.image, name='focus'));\n",
    "\n",
    "plt.figure(figsize=[9,3])\n",
    "fraunhofer_psf = hst_fraunhofer.calc_psf(wavelength=0.5e-6, display_intermediates=True, return_intermediates=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'cutout-airy')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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d05C3saik8hwUuSWTMmWX8tql75NRYFRGUv0nSrOCjY2Ou1eieDVHTcUcHRY2Svu5se68mBkdUnRRSV0B3E74JbvezLZI+hSw2cw2Eor23hiL+O4hKEOAc4ErJY0SvpB/YGbPturPFZ3jOAXpbJl0M9sEbMoc+1jq/QHg3TnX3QjcOJ2+XNH1kk5aEFKqCkkm4wEm5IyGzIgkBzUGEI+mgoQrE4e96b7Ca6qsU2r42TInNuNcsLGxZmHPxBIFsGrz/Dj5RyYOues28wyKPNwpUZySPiJXdI7jFMPAintd+wpXdGVFlaaFllg6tdrkNeNSYSc2OhZfDzUn/VP3sLE4PzYvrLdbOWx+2J8/H+bNjfdLWUEHD4W3B4J3v/5yeLWDB1FSj65xf2Gjh8aLVq0wWVgMtdq4PFkA1etYLbEovdpJb3FF50xGFya9x2US1Jvey4ZnMjscs3rD8ZAMDzUy0lQi9aYToHr00eHYMUsAOHTMQgAOHjmH0QXhvvWowCo1Y85L4dp5e4NDYe7u/eH63XuoPbcnihPlqFabhTcThWc5X0OlsiziZ1LqOSafPzvKboup1tVwfOjqOM4Q4IrOKUw7VkPaOkzKn6dLnU+SsWB1S4V4pAtvjnckjLxiGS+dfAwAe18VwlH2nRjO1ZaOMmf+WLxFOFavVRg9EL5G1WfDUPfwnWGoe+Sji1iwbUG4ducToZ96ZaIVOTY2MSOiIbhNLPWUXruiE2tMeJhJMZKA4RLiis5xnMKUdWTviq6bdNNSUGXCqltWq01u4eSVKK/VGqEhI69YBsAL/+k4nj4rWEzHnfo0AOcd/TgAc1Rjz6EwX7e/FpwSC6uHWDI3zMmNxhCRzc+cCMDO5cdy3OHHASF3B2Dsp7tQnlWQlS9lbWWLg2pcTm+HnREeatKaYfS6SloMfImQZ2bA7wHbgJuBFYS0jPeY2d62pHSapNdjSEiXRcoq1/Q/buN94pRoOh6S4erTZ1V407lbALhwyUMAPPhSSEncsO10qlsPB2Du8+FWhxZD7dX7ALjo5AcAuGLlXQBsOuJU/oPXADBnX7j/YfteovbMM+NlSzsB8hRNdhWykZHm55d7X3uJSqr/203q/xzwTTP7ZeB1wFbgSuAOM1sF3BH3HccpO0XLC/ehMpyxRSdpEfArwH8FMLNDwCFJa4DzYrMbgO8AH2lHSKdJOqzEMnmh8WBsmDPEyAzHNG9eI4QkcTwcd+rTDUvurhd+GYC7//n1AKz8i//gxUvPBmD/ceE3cvGjdRZ98kEAbr3qXACe+837gWAR7jj1qHD/nWEIe9jOJejFF4M4Bw+2+KATLbtmBkbzWFfCTJxJKFyZpO9ox6J7JfAM8PeS7pf0JUkLgWPN7CmA+HpM3sWS1iZF+UZp8YV3HKd/GDaLLl77BuCDZnaPpM8xjWGqma0D1gEs0pI+fDT9jaSGRTfOnMnkhVpepkRsUzlsfiMYOAkhOe/oxxtzcokld/z3QqbD/m++kr9YtQ6A5SPBKts5toj/cdm7QrurQ7u7Cdctfc9+zoiOjNtODL93h45ZyNwnQvhJ7VASMDzxzz9O/pzPmQQP+xenx5TUcm7HotsF7IqVPiHUdH8D8DNJxwPE193tieg4Tl/Q2cKbPWXGFp2ZPS1pp6STzWwbcD5hYYtHCMXyro6vt3ZE0mEnu+hNpTLe29poVxn/SiolrDF/F6uHzJ/PwSPD3FxtaUjfmqMaG7adDoQ5OQiWHMDdp93Cj0aDh/W7L4djbz5sB3efdgsA5175WwAsW70DgA2vO501r3po3P0PHjmHefODRceL+6L8tRxvcfI5rOlRHVcVJfM5PX2rJ5TV69puHN0Hga9KmgvsAH6XYCV+TdLlwOPk1JMaWjrxj5hdLSvDhNW0midIxh2NNvPmNnJXk4yHPYcWNkJIEsdDMlz90eg+3vqvfwzA0f8evjqfPGeMb//aNQB8etW/AHDVpWEdlOrWCntWLBx3/9EFcxqFARqOBJtYdTj9eVo6GqZ4HoXwDIniDKOiM7MHgLwFMM5v576O4zidxDMjBpVKJjwjbaykhnuNKiQxd3V/bW4jGDgJIUkcD999+ZUNS+7IL38v3uyNfPfNzWFs+rq5zzczKBq5sVVNHIbnrS6WyO9xwH3FsA5dHccZFozhTAFz+ph6i3mnVBnySi20q8dClgurhzi0OJxe/Ghot3NsERAstk+ek6wq9kYAnjlnrGHJJe0WPhWue/5VFRZWD427f6VmueEiDRJ56yU1HQadkv5ZXNH1kk4kjCcKYLKqRsnqWdnzVm/028gwOHioUTQzKbW0ZO7+Ru5qkvGQxMndfdotDcdDerj6S3OC8+KyraHdopu+D8Bz609rJvzH+895KVWReFymQ77HwaZSeJ1QiO6EKIwPXR3HGXxc0TldJTvcq0/MhgiLOCfD0oyVMq4aSKxecuBAo/x5UjRz1KqNKiRJ7mqS8XDulb/VCCFJD1cTS27+1WHMu+uqNwFw0cl381I9OCOqz4V4vXl7DzXWlhg3dJ1QvaQ+sc24Vc4y5z2GrjeU9DG7onMcpxAyH7o6PcbysiGsmReam+PavBgIq3UlC9kk5c83P3Nio55cUoUkyV1dtnpHIxg4CSFZ+FS9MSeXWHLnxutOW7CTa3/8q+H+j8eQk937G6uEtbLCrFXWR/bzO73Dva6O4ww6btE5PSHtVW0s/5euyZb17KbntbIL5hw8CLvDcoRHPhpCQ3YuP5ZNR5wKNCsML31PsPo2vO50qlubwcAQQkieW38aEObkIFhyAJv2nMrTDx0LwPJHw1wgu/c069Cl5claaGn54/skZSxduWVKr6zTWUr6uF3RlY2GM8JgwuLQOcPVvJLkccUtVdVYdzVZreu4w49rlD9PimYmpZbWvOqhRu5q3poRieMhGa4+/dCxHPuDerx/KGIz9tyexqLZDSVVz8mMSKPM50w+f/p5ON3H5+gcxxkKXNE5E+hmVQyrQyX8+Rp3r1bDGqnpPtNWXHalrWoVxZ/oZN3VI2guZJOUP0+KZk65rmsMIUkcD8sfHW1Ycsn9Va0281jrSZYFzXVd66myUlH+xAJU2qIbS13bSdzJ0RKV1IBud3Ecx3GcvsctutmgnSKR6euSoNnE0qlW8+fpiBP50QJsWH01Na+th9+8sZ/u4rB9LwFhIRugUW794JFzQj05aFY9qVkjjWze3pDalYSssHsPY3EOsGGNVdSUMVpvicUGOVNuSsmYWHm1Keb0iuKpX9OnpAavK7pe0IUhrNWtOWSN1XZVrTaUgmWHdqqg6viqvDZ6aNywF0CmxrqryWpdyRoP8+bPbxTNHDc0TnJXY8ZDEidnBw82lVilqaQS2TQnFuCsVrBaRsMlntaRkZSSrDTv0Q1vqw9bW+POCMdxhgJXdE5PsXrDClIlNYGfWD9Zi87qJFOympMaKo7GlbjSFlKywlaMd2us1vXivmYZ9lTpc8uGeqQs2GYISZSnXmtacokc9frkYSLV6oQhq9VatHe6S0kVnTsjHMcphAhe1yJboftJqyVtk7Rd0oSlUiXNk3RzPH+PpBXx+AWS7pP0UHx9y1R9uUXXSzo5V2fWzAdNMgbS4ReZcA2r1Zqrf8UmqlbAMg6KPPkalVNqYSEbILf8eR6ZkJYw5xZ/X6MzxWr1ibm5ldRnyeTvjlvrtRP43FwxOjhHJ6kKfAG4gLB06r2SNprZI6lmlwN7zewkSRcDnwXeCzwL/IaZPSnptcDtwAmt+nNFN1vMtAhn+rpEicXsqvTwU+m0sNjexmJDS7yYKYM+rRgnk0kaf02DSUoljVuesKm4Go6HpFxUjuJqDJHrhsVhr2W8tQ2Z8vqeCve4zozO/SacCWw3sx0AktYDawjLpSasAT4R328ArpUkM7s/1WYLMF/SPDM7OFlnPnR1HKc4VnCDoyRtTm1rM3c6AdiZ2t/FRKus0cbMxoAXgKWZNv8FuL+VkgO36PqbvKT3nGT3hmVn9YkWV46lNiH0pFW/WXIcDi2vy8o41fxNlLcZPlLLL66ZZ8lNNuR2OsY0hq7PmlneUqiNW+Ucy969ZRtJryEMZ39tKmHconMcpzjFLbqp2AUsT+0vA56crI2kEUKG4p64vwz4Z+D9ZvajqTpzi242MEutbTrDOaa89ulFZjKWnUZG8quF5FlBGWut4eQYN6eXs1pXes4tK2OrkkyVampOMTvPV2/xWWdAKzmc1lhHc13vBVZJWgk8AVwMXJppsxG4DPgecBFwp5mZpMXA14GrzOzfi3TWlkUn6Y8lbZH0sKSbJM2XtDK6gh+LruG57fThOE4f0SGLLs65XUHwmG4FvmZmWyR9StI7Y7PrgKWStgN/AiQhKFcAJwF/LumBuB3Tqr8ZW3SSTgD+EDjFzF6W9DWCVr4QuMbM1kv6W4KL+Isz7ceJFLX8Guczlp0qaE5izcQ/e6020frKsXgabWRNb2g6uqRFwPAEuaRmWlhefbnkxtNd9Ma9qD2hkylgZrYJ2JQ59rHU+wPAu3Ou+zTw6en01e7QdQQ4TNIosAB4CngLTRP0BoJ72BVdliL/wO3E3WUVHtXUEDRVyDJRYq1i1NJxdNMZuqSG6GnlNkEOa4aQdGRVr1bX+nC1PUr6+GY8dDWzJ4C/BB4nKLgXgPuA56NZCvkuYwAkrU1cz6O09Aw7jtMPFB229qEybGfoeiQhoG8l8Dzwj8Dbc5rmfmwzWwesA1ikJX34aPqIDlg3VqtNzKCoVpvrTqTLsSfW3WRD0sloOFhiBkalmXs7zopLVSFJZMt1YEwHt9S6jhjO6iVvBX5sZs8ASLoFeBOwWNJItOryXMaO45SUYVR0jwNnS1oAvAycD2wG7iK4gtcTXMO3tiuk0wHqtQmpYqqnJtySmnYSJPNpbVpJyptbTFuMtVQ4SrbMu9OfDJuiM7N7JG0A/i8wBtxPGIp+HVgv6dPx2HWdENSZIXm5sY14t0rTi9poX2nGyDVukSyrOMWUbpKknwyXzZre1FQ2Rssh8UzjCp3eUNI/S1teVzP7OPDxzOEdhIRdx3EGiQ5WL+k1nhnRj7TKGZ0uebmxeeEijT5r450JpJMLJ1p7wKRrrFrdJia3tqqM0up8ESYLw3HrsHOU9FG6onMcpzBlXe7QFV0fky6kmZunOuGCFnmchTMqAJuk0shUgcvdCPItmpuaypdtNJ9kRTRn5vjQ1ekqjWGkFRzidaNkUS+GgNPNAkkyL/KG1E5n6dNg4CK4onMcpziu6JxOkwxXC1sr6fJPg8Q0LcmurPnqDG1mhOM4Q4ZK+iPiiq4fyVQesenMqZc9lGKG8uc6Hsr+LPoNn6NzHGcY8KHrsFNWL2fZ6fYz8tLr4ynpI3BFN1v4ilWzgyuutnCLznGcwccVnTOOdG5pN9q3uk+aslotnba8ZhiI7KTo7CpgPcUVneM4hfA4Oqd/LaeyzEn1mwXVz89qNinpc3FFN1t06wuTvW9agbRSJr36AhdVaJ2Wp6T/oP2GW3SO4ww2HjDs9C15lkyeVdWOpdXusNOtrdLgzgjHcQYeV3ROechbjKYonXAauAVXTozS/u1c0Q07rZwX3ezHKSXujHAcZ/BxRefMiH5bx7Rf5OgW/fa8S4QHDDuOM/iYeeFNp03KksFQRvot66LMlPSrWZmqgaTrJe2W9HDq2BJJ35L0WHw9Mh6XpM9L2i7pQUlv6KbwjuP0Flmxrd+YUtEBXwZWZ45dCdxhZquAO+I+wNuBVXFbC3yxM2I6jjPrGFC3YlufMaWiM7N/A/ZkDq8BbojvbwDelTr+Dxb4PrBY0vGdEnYgMZu4OZ3Fn3HnsIJbn1HEosvjWDN7CiC+HhOPnwDsTLXbFY9NQNJaSZslbR7l4AzFcBynl3Ry6CpptaRtcarrypzz8yTdHM/fI2lFPL5U0l2S9km6tkhfM1V0k5E365v7sc1snZmdYWZnzGFeh8VwHKcbqG6FtinvI1WBLxCmu04BLpF0SqbZ5cBeMzsJuAb4bDx+APhz4E+Lyj1TRfezZEgaX3fH47uA5al2y4AnZ9iH4zj9RNFhazGL7kxgu5ntMLNDwHrC1Fea9BTZBuB8STKz/WZ2N0HhFWKmim4jcFl8fxlwa+r4+6OTrmdmAAAIFElEQVT39WzghWSIW3qk5uY4CenvxYB/N0LAsBXagKOSqam4rc3crsg0V6ONmY0BLwBLZyL7lHF0km4CzouC7wI+DlwNfE3S5cDjwLtj803AhcB24CXgd2ciVN/j0fUODLxiy6V49ZJnzeyMFueLTHMVngqbiikVnZldMsmp83PaGvCBmQjiOE7/o879uBeZ5kra7JI0AhzBxAiQQnTaGeE4zqDS2Tm6e4FVklZKmgtcTJj6SpOeIrsIuDMaU9PGU8AcxylI53JdzWxM0hXA7UAVuN7Mtkj6FLDZzDYC1wE3StpOsOQuTq6X9BNgETBX0ruAXzOzRybrzxVdUXw+zskyjN+JDn5mM9tEmNdPH/tY6v0BmvP/2WtXTKcvV3SO4xTDF7B2HGcoKKkV64rOcZzilFPPuaJzHKc4qpdz7OqKznGcYhjTCRjuK1zROY5TCGGdDBjuKa7oHMcpjis6x3EGHld0juMMND5H5zjOMOBeV8dxBpzyrrfhis5xnGIYrugcxxkCyjlydUXnOE5xPI7OcZzBxxWd4zgDjRnUyjl2dUXnOE5x3KJzHGfgcUXnOM5AY0CH1ozoNa7oHMcpiIH5HJ3jOIOM4c4Ix3GGgJLO0U25gLWk6yXtlvRw6tj/kvRDSQ9K+mdJi1PnrpK0XdI2SW/rluCO48wCZsW2PmNKRQd8GVidOfYt4LVmdhrwKHAVgKRTCIvMviZe878lVTsmreM4s0hBJVdGRWdm/0ZYJTt97F/NbCzufh9YFt+vAdab2UEz+zGwHTizg/I6jjNbGFCvF9v6jCIW3VT8HvCN+P4EYGfq3K54bAKS1kraLGnzKAc7IIbjOF2npBZdW84ISR8FxoCvJodymuV+ajNbB6wDWKQl/fdkHMfJMIQpYJIuA94BnG/WUOG7gOWpZsuAJ2cunuM4fYOBlTSObkZDV0mrgY8A7zSzl1KnNgIXS5onaSWwCvhB+2I6jtMX1K3Y1mdMadFJugk4DzhK0i7g4wQv6zzgW5IAvm9mv29mWyR9DXiEMKT9gJnVuiW84zg9pg/n34owpaIzs0tyDl/Xov1ngM+0I5TjOH2IWV96VIvgmRGO4xRnUC06x3GcgGG1cs5EuaJzHKcYXqbJcZyhYJjCSxzHGT4MsLoV2oogaXUs/rFd0pU55+dJujmev0fSitS5aRUPcUXnOE4xLBbeLLJNQSz28QXg7cApwCWxKEiay4G9ZnYScA3w2XjttIuHuKJzHKcwVqsV2gpwJrDdzHaY2SFgPaEoSJo1wA3x/QbgfIXA3WkXD+mLObqfs/fZb9uG/cCzsy0LcBQuRxqXYzxlluMV7XT4c/be/m3bcFTB5vMlbU7tr4v57Ql5BUDOytyj0cbMxiS9ACyNx7+fuTa3eEhCXyg6Mzta0mYzO2O2ZXE5XA6XIx8zy9albIciBUAma1O4eEiCD10dx5kNihQAabSRNAIcQaiNOe3iIa7oHMeZDe4FVklaKWkuwbmwMdNmI3BZfH8RcGeslDTt4iF9MXSNrJu6SU9wOcbjcozH5egAcc7tCuB2oApcH4uCfArYbGYbCTn1N0raTrDkLo7XTrt4iKykuWuO4zhF8aGr4zgDjys6x3EGnr5QdFOlgnSpz+WS7pK0VdIWSR+Kx5dI+pakx+LrkT2Spyrpfkm3xf2VMe3lsZgGM7cHMiyWtCGu2btV0htn43lI+uP4N3lY0k2S5vfqeUyyjnHuM1Dg8/F7+6CkN3RZDl9PeYbMuqIrmArSDcaAD5vZq4GzgQ/Efq8E7jCzVcAdcb8XfAjYmtr/LHBNlGMvIR2m23wO+KaZ/TLwuihPT5+HpBOAPwTOMLPXEiaqL6Z3z+PLTFzHeLJn8HaCx28VsBb4Ypfl8PWUZ4qZzeoGvBG4PbV/FXDVLMhxK3ABsA04Ph47HtjWg76XEf6B3gLcRgiIfBYYyXtGXZJhEfBjooMqdbynz4NmNPwSQlTAbcDbevk8gBXAw1M9A+DvgEvy2nVDjsy53wS+Gt+P+58heDLf2M2/U9m2WbfomMZasN0iVkV4PXAPcKyZPQUQX4/pgQh/A/wZkGRDLwWet+Yi4b14Jq8EngH+Pg6hvyRpIT1+Hmb2BPCXwOPAU8ALwH30/nmkmewZzOZ3d0brKQ8r/aDopp3O0dHOpcOBfwL+yMxe7FW/qf7fAew2s/vSh3OadvuZjABvAL5oZq8H9tO7YXuDOP+1BlgJ/CKwkDBEzNIPcVGz8t1VG+spDyv9oOhmbS1YSXMISu6rZnZLPPwzScfH88cDu7ssxjnAOyX9hFDB4S0EC29xTHuB3jyTXcAuM7sn7m8gKL5eP4+3Aj82s2fMbBS4BXgTvX8eaSZ7Bj3/7qq5nvL7LI5TZ0OOstEPiq5IKkjHieVergO2mtlfp06l004uI8zddQ0zu8rMlpnZCsJnv9PM3gfcRUh76ZUcTwM7JZ0cD51PiDzv6fMgDFnPlrQg/o0SOXr6PDJM9gw2Au+P3tezgReSIW43kK+nPHNme5Iw/ihdSPAi/Qj4aI/6PJdg3j8IPBC3CwnzY3cAj8XXJT18DucBt8X3ryR8WbcD/wjM60H/pwOb4zP5F+DI2XgewCeBHwIPAzcS1hDuyfMAbiLMDY4SLKXLJ3sGhCHjF+L39iGCp7ibcmwnzMUl39e/TbX/aJRjG/D2Xn1ny7J5CpjjOANPPwxdHcdxuoorOsdxBh5XdI7jDDyu6BzHGXhc0TmOM/C4onMcZ+BxRec4zsDz/wHUEUq6qoRiSAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "airy=poppy.misc.airy_2d(diameter=diam.value, wavelength=0.5e-6,\n",
    "                              shape=(128,128), pixelscale=psf[0].header['PIXELSCL'],\n",
    "                             center=(64,64))\n",
    "airy_fits=fits.HDUList([fits.PrimaryHDU(airy)])\n",
    "airy_fits[0].header['PIXELSCL'] = psf[0].header['PIXELSCL']\n",
    "airy_profile=poppy.utils.radial_profile(airy_fits)\n",
    "\n",
    "\n",
    "centerpix = int(hst.npix / hst.beam_ratio / 2)\n",
    "cutout = psf[0].data[centerpix-64:centerpix+64, centerpix-64:centerpix+64] / psf[0].data[centerpix,centerpix]\n",
    "#plt.subplot(121)\n",
    "plt.imshow(np.abs(cutout-airy) )\n",
    "plt.colorbar()\n",
    "plt.title(\"cutout-airy\")\n",
    "\n",
    "#assert( np.abs(cutout-airy).max() < 1e-4 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x13a823a5c50>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#calculate Airy Pattern\n",
    "airy=poppy.misc.airy_2d(diameter=diam.value, wavelength=0.5e-6,\n",
    "                              shape=(128,128), pixelscale=psf[0].header['PIXELSCL'],\n",
    "                             center=(64,64))\n",
    "#calculate radial profiles\n",
    "rayleigh_criterion=1.22*500*u.nm/diam*206265\n",
    "hst_profile=poppy.utils.radial_profile(psf)\n",
    "fraunhofer_profile=poppy.utils.radial_profile(fraunhofer_psf)\n",
    "\n",
    "#plot radial averages:\n",
    "plt.figure()\n",
    "plt.plot(hst_profile[0],hst_profile[1]/hst_profile[1].max(),\"-\",label=\"Fresnel PSF Radial Average\")\n",
    "plt.plot(fraunhofer_profile[0],fraunhofer_profile[1]/fraunhofer_profile[1].max(),\"--\",\n",
    "         linewidth=2,alpha=0.5,label=\"Fraunhofer PSF Radial Average\")\n",
    "plt.plot(airy_profile[0],airy_profile[1]/airy_profile[1].max(),\":\",label=\"Airy profile Radial Average\")\n",
    "\n",
    "\n",
    "plt.yscale(\"log\")\n",
    "plt.plot([rayleigh_criterion,rayleigh_criterion],[0e-4,1],'-.',label=\"$1.22\\lambda/D$\")\n",
    "plt.xlim([0,0.3])\n",
    "plt.ylim([1e-4,1])\n",
    "plt.ylabel(\"Normalized Intensity\")\n",
    "plt.xlabel(\"arcseconds\")\n",
    "plt.title(\"HST PSF Radial Average\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A caution on coordinates:\n",
    "\n",
    "\n",
    "One subtle point to be aware of is a small but important difference in image centering. The Fraunhofer code is set up to by default always place the PSF center precisely in the middle of the array, so for instance in a 1024x1024 array the PSF has its (0,0) origin centered on the crosshairs between pixels [512,512] and [513,513]. In contrast the output of the Fresnel code has the origin (0,0) centered on an integer pixel, which would be [512,512] in this example. This behavior results from the coordinate conventions of the FFT used in the Fresnel propagation. The Fraunhofer code uses a more flexible MFT and if necessary can be adjusted to have its output align with what the Fresnel code does. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Wait, how did it just automatically convert into angular units?\n",
    "\n",
    "The PSF above is shown in angular units of arcseconds, just like PSFs from `OpticalSystem`. But the Fresnel propagation works in units of meters. In order to convert automatically between the two coordinate systems, Fresnel propagation tracks the focal length of the beam as it encounters powered optics. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Focal length after Circle, radius=1.2 m is inf m\n",
      "Focal length after Secondary Obscuration with 4 supports is inf m\n",
      "Focal length after Primary is 5.52085 m\n",
      "Focal length after Secondary is 57.48805474013198 m\n",
      "Focal length after focus is 57.48805474013198 m\n"
     ]
    }
   ],
   "source": [
    "for w in waves:\n",
    "    print(\"Focal length {} is {}\".format(w.location, w.focal_length))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can cross-check against the combined system focal length using the focal length of each mirror and their separation:\n",
    "\n",
    "$$\\frac{1}{f_{sys}} = \\frac{1}{f_1} + \\frac{1}{f_2} - \\frac{d}{f_1  f_2}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fl_sys = 57.48805472391501 m\n"
     ]
    }
   ],
   "source": [
    "print( \"fl_sys = {}\".format(1./(1./fl_pri + 1./fl_sec - d_pri_sec/(fl_pri*fl_sec))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The answer above is slightly smaller than the generally reported value of 57.6 m for Hubble's focal length.  Numerical experimentation shows that a very small adjustment to the separation to the two optics will resolve this discrepancy. Reducing the assumed primary-to-secondary distance by 0.0025% is sufficient, about 100 microns difference in position out of a nearly 5 meter separation.  But as we noted above, this example case is a simplified version of Hubble and simplifies the actual curvature of the mirrors. This is an acceptably good agreement within those limitations. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Whenever an image plane optic is encountered in the propagation (i.e. any `OpticalElement` with its `.planetype` equal to `poppy.PlaneType.image`) then the `FresnelWavefront` will automatically return its coordinates in angular units, as expected by that optic. \n",
    "\n",
    "If desired you can toggle back and forth manually by setting the `angular_coordinates` attribute, or by setting the `use_angular_coordinates` parameter in the call to `display()`.\n",
    "\n",
    "Here we show displaying the same PSF in physical units; the PSF peak is only some tens of microns across. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x13a82c501d0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes=plt.subplots(ncols=2, figsize=(12,6))\n",
    "waves[-1].display(ax=axes[0], use_angular_coordinates=True)\n",
    "\n",
    "waves[-1].display(ax=axes[1], use_angular_coordinates=False, \n",
    "                  imagecrop= 0.0014) # 1.4 mm happens to yield same FOV as 5 arcsec image default crop\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
